Base | Representation |
---|---|
bin | 10100010010100… |
… | …111010101000000 |
3 | 212201120022221022 |
4 | 110102213111000 |
5 | 1144122032000 |
6 | 53440245012 |
7 | 11302361540 |
oct | 2422472500 |
9 | 781508838 |
10 | 340424000 |
11 | 165184654 |
12 | 96010768 |
13 | 556b2627 |
14 | 332d7320 |
15 | 1ed46585 |
hex | 144a7540 |
340424000 has 112 divisors (see below), whose sum is σ = 963655680. Its totient is φ = 116697600.
The previous prime is 340423987. The next prime is 340424009. The reversal of 340424000 is 424043.
It is a tau number, because it is divible by the number of its divisors (112).
It is a self number, because there is not a number n which added to its sum of digits gives 340424000.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (340424009) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52961 + ... + 59039.
Almost surely, 2340424000 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 340424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481827840).
340424000 is an abundant number, since it is smaller than the sum of its proper divisors (623231680).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
340424000 is an equidigital number, since it uses as much as digits as its factorization.
340424000 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 6113 (or 6093 counting only the distinct ones).
The product of its (nonzero) digits is 384, while the sum is 17.
The square root of 340424000 is about 18450.5826466266. The cubic root of 340424000 is about 698.2432137389.
Adding to 340424000 its reverse (424043), we get a palindrome (340848043).
The spelling of 340424000 in words is "three hundred forty million, four hundred twenty-four thousand".
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